Analytical solutions for non-Newtonian fluid flows in pipe-like domains
DOI: 10.1016/S0020-7462(02)00170-1
关键词:
摘要: Abstract This paper deals with some unsteady unidirectional transient flows of an Oldroyd-B fluid in unbounded domains which geometrically are axisymmetric pipe-like. An expansion theorem Steklov is used to obtain exact solutions for satisfying no-slip boundary conditions. The well known a Navier–Stokes fluid, as those corresponding Maxwell and second grade one, appear limiting cases our solutions. steady state also obtained t→∞.
elsevier.com
sci-hub.se 参考文章(8)
C. Guillopé, J.-C. Saut, Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type Mathematical Modelling and Numerical Analysis. ,vol. 24, pp. 369- 401 ,(1990) , 10.1051/M2AN/1990240303691
R. Bandelli, K.R. Rajagopal, Start-up flows of second grade fluids in domains with one finite dimension International Journal of Non-linear Mechanics. ,vol. 30, pp. 817- 839 ,(1995) , 10.1016/0020-7462(95)00035-6
J.E. Dunn, K.R. Rajagopal, Fluids of differential type: Critical review and thermodynamic analysis International Journal of Engineering Science. ,vol. 33, pp. 689- 729 ,(1995) , 10.1016/0020-7225(94)00078-X
Tsuan Wu Ting, Certain non-steady flows of second-order fluids Archive for Rational Mechanics and Analysis. ,vol. 14, pp. 1- 26 ,(1963) , 10.1007/BF00250690
On the Formulation of Rheological Equations of State Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 200, pp. 523- 541 ,(1950) , 10.1098/RSPA.1950.0035
Marco A. Fontelos, Avner Friedman, Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains Archive for Rational Mechanics and Analysis. ,vol. 151, pp. 1- 43 ,(2000) , 10.1007/S002050050192
K. R. Rajagopal, R. K. Bhatnagar, Exact solutions for some simple flows of an Oldroyd-B fluid Acta Mechanica. ,vol. 113, pp. 233- 239 ,(1995) , 10.1007/BF01212645
C. Fetecău, Corina Fetecău, On the uniqueness of some helical flows of a second grade fluid Acta Mechanica. ,vol. 57, pp. 247- 252 ,(1985) , 10.1007/BF01176922